GCF of 4736/972, 7610/3405
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4736/972, 7610/3405 i.e 2/1103220 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4736/972, 7610/3405.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 4736/972,7610/3405?
Given fractions are 4736/972,7610/3405
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 4736/972,7610/3405, numerators are 4736,7610
Denominators are 972,3405
The GCF of 4736,7610 is 2 .
LCM of 972,3405 is 1103220.
The greatest common factor of 4736/972,7610/3405 = [GCF of 4736,7610]/[LCM of 972,3405]= 2/1103220
Therefore, the GCF of 4736/972,7610/3405 is 2/1103220.
To find the highest common factor of 4736,7610, we have to find the factors of both numbers and list the highest common factor.
The factors of 4736 are 1, 2, 4, 8, 16, 32, 37, 64, 74, 128, 148, 296, 592, 1184, 2368, 4736
The factors of 7610 are 1, 2, 5, 10, 761, 1522, 3805, 7610
The HCF of 4736,7610 is 2.
Lets's calculate GCF of 4736,7610
| 2 | 4736, 7610 |
| 2368, 3805 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4736,7610 By Matching Biggest Common Factor Method
Now, list down the factors of 4736
:1,2,4,8,16,32,37,64,74,128,148,296,592,1184,2368,4736
Now, list down the factors of 7610
:1,2,5,10,761,1522,3805,7610
Greatest Common Factor
We found the factors 4736,7610 . The biggest common factor number is the GCF number.
So the greatest common factor 4736,7610 is 2.
Lets's calculate LCM of 972,3405
| 3 | 972, 3405 |
| 324, 1135 |
∴ So the LCM of the given numbers is 3 x 324 x 1135 = 1103220
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1103220
Therefore, the GCF of Fractions 4736/972,7610/3405 is 2/1103220
Least Common Multiple of 972,3405 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 972,3405 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(972,3405) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(972,3405) x common factors =3 x 1 = 3
LCM(972,3405) = ( 972 × 3405 ) / 3
LCM(972,3405) = 3309660 / 3
LCM(972,3405) = 1103220
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FAQs on GCF of Fractions of 4736/972, 7610/3405
1. What is the HCF of 4736,7610?
The HCF of 4736,7610 is 2
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 4736/972, 7610/3405?
Answer: GCF of Numerators as per given numbers 4736/972, 7610/3405 is
GCF of Numerators i.e. for 4736,7610 is 2
LCM of denominators i.e. for 972,3405 is 1103220.
Thus, GCF of Fractions is 2/1103220.Finally, GCF of Fractions for 4736/972, 7610/3405 is 2/1103220.